Question

A block of mass M hangs in equilibrium. The rope which is fastened to the ceiling has a tension of and makes an angle Θ = 55° with the ceiling. What is M?

Answer 1

what is the tension

Answer 2

64 N

Answer 3

I find it hard to believe that the part of the wire where T2 is , is perfectly level

Answer 4

should it be
T1 cos 55 + T2 = 0

or
T1* cos 55 -T2 = 0

are T1 , T2 vectors or magnitudes.
T2 is opposite to T2

Answer 5

i do too, but i that how it's drawn

Answer 6

in the x direction

Answer 7

T1cos55+T2=0, T1 and T2 are vectors

Answer 8

ok then Y direction should be

T1 sin 55 + T3 = 0 ?

Answer 9

yes

Answer 10

you are right,
sorry

Answer 11

if T1 sin 55 + T3 = 0
then
T1 sin 55 = -T3
but you wrote T1 sin 55 = T3 sorry to be pedantic :)

Answer 12

no problem, the vectors and magnitudes sometimes confuse me

Answer 13

;)

Answer 14

can we find the tension T2

Answer 15

yes, because T1cos 55°+T2=0

Answer 16

oh right, just saw that :)

Answer 17

but
T1 sin 55 = -T3

however
|T1| sin 55 = |T3|

this is true as far as the magnitudes are concerned

Answer 18

yes, maybe it easier just with manitudes

Answer 19

|T1|*cos55°=|T2|
and
|T1|*sin55°=|T3|=|weigth(M)|